λ
Harmonic Matrix

4,978,786

2 × 31 × 131 × 613
Deficient Even Composite

4,978,786 has digital root 4. The neighboring primes are 4978783 and 4978801; its proper-divisor sum differs from the starting integer by -2,176,964.

Prime Factor Structure

Factorization String 2 × 31 × 131 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,780,608
Proper Divisor Sum 2,801,822
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #4978783 ← → #4978801

Radix Representation

Decimal 4978786
Binary 10010111111100001100010 (23 bits)
Octal 0o22774142
Hexadecimal 0x4BF862

Divisor Catalog (16)

1 2 31 62 131 262 613 1,226 4,061 8,122 19,003 38,006 80,303 160,606 2,489,393 4,978,786

Collatz Trajectory (113 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,978,786 2,489,393 7,468,180 3,734,090 1,867,045 5,601,136 2,800,568 1,400,284 700,142 350,071 1,050,214 525,107 1,575,322 787,661 2,362,984 1,181,492 590,746 295,373 886,120 443,060 221,530 110,765 332,296 166,148 83,074 41,537 124,612 62,306 31,153 93,460 46,730 23,365 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272

More profiles

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